In this paper, a method to design a feeding circuit for Wi-Fi devices which operate at 2.4 GHz standard has been proposed. The feeding circuit is a branch line coupler which couples a power 10 dB below the 0 dB level of the input power. In order to combat problems due to extremely high impedance, a rectangular ring headed dumbbell shaped Defected Ground Structure (DGS) is employed below the parallel arms of the Branch line coupler. DGS helps in working with high impedance microstrip lines which if conventionally used, require width which is impractically small. Finally a compact feeding circuit to a Wi-Fi device operating at 2.4 GHz band which couples a power of 10 dB below the input power level into the device was designed. © 2016 IEEE.